SOLUTION: If 15 workers can paint 18 houses in 24 days, how many days will 40 workers take to paint 22 houses?

Question 481129: If 15 workers can paint 18 houses in 24 days, how many days will 40 workers take to paint 22 houses?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
If 15 workers can paint 18 houses in 24 days, how many days will 40 workers take to paint 22 houses?
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# of days are inversely related to # of workers and directly related
to # of houses.
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d = kh/w
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Solve for "k" using "15 workers can paint 18 houses in 24 days"
24 = k*18/15
k = 15*24/18 = 15*(4/3) = 20
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Equation:
d = 20h/w
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Solve: How many days will 40 workers take to paint 22 houses?
d = 20*22/40
d = 11 days
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Cheers,
Stan H.
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